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80431056 = 2435137151
BaseRepresentation
bin1001100101101…
…00011111010000
312121100022200000
410302310133100
5131042243211
611551530000
71664436606
oct462643720
9177308600
1080431056
1141446052
1222b29900
1313881654
14a979876
1570db656
hex4cb47d0

80431056 has 120 divisors (see below), whose sum is σ = 236693184. Its totient is φ = 26438400.

The previous prime is 80430997. The next prime is 80431061. The reversal of 80431056 is 65013408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532581 + ... + 532731.

Almost surely, 280431056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118346592).

80431056 is an abundant number, since it is smaller than the sum of its proper divisors (156262128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80431056 is a wasteful number, since it uses less digits than its factorization.

80431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 80431056 is about 8968.3363005632. The cubic root of 80431056 is about 431.6594538398.

The spelling of 80431056 in words is "eighty million, four hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 137 144 151 162 216 243 274 302 324 411 432 453 486 548 604 648 822 906 972 1096 1208 1233 1296 1359 1644 1812 1944 2192 2416 2466 2718 3288 3624 3699 3888 4077 4932 5436 6576 7248 7398 8154 9864 10872 11097 12231 14796 16308 19728 20687 21744 22194 24462 29592 32616 33291 36693 41374 44388 48924 59184 62061 65232 66582 73386 82748 88776 97848 124122 133164 146772 165496 177552 186183 195696 248244 266328 293544 330992 372366 496488 532656 558549 587088 744732 992976 1117098 1489464 1675647 2234196 2978928 3351294 4468392 5026941 6702588 8936784 10053882 13405176 20107764 26810352 40215528 80431056